Solve (-3^4)*3^-2/(-3)^-2

$$\frac { ( - 3 ^ { 4 } ) \times 3 ^ { - 2 } } { ( - 3 ) ^ { - 2 } }$$

Evaluate

$$-81$$

Solution Steps

Calculate 3 to the power of 4 and get 81.

$$\frac{-81\times 3^{-2}}{\left(-3\right)^{-2}}$$

Calculate 3 to the power of -2 and get \frac{1}{9}.

$$\frac{-81\times \frac{1}{9}}{\left(-3\right)^{-2}}$$

Multiply -81 and \frac{1}{9} to get -9.

$$\frac{-9}{\left(-3\right)^{-2}}$$

Calculate -3 to the power of -2 and get \frac{1}{9}.

$$\frac{-9}{\frac{1}{9}}$$

Divide -9 by \frac{1}{9} by multiplying -9 by the reciprocal of \frac{1}{9}.

$$-9\times 9$$

Multiply -9 and 9 to get -81.

$$-81$$

Factor

$$-81$$